Nonexistence of a pair of arc disjoint directed Hamilton cycles on line digraphs of 2-diregular digraphs

被引：1

作者：

Govindan, T. ^{[1
]}

Muthusamy, A. ^{[2
]}

机构：

[1] Govt Coll Engn, Dept Math, Bargur 635104, Tamil Nadu, India

[2] Periyar Univ, Dept Math, Salem 634562, Tamil Nadu, India

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2015年 / 7卷 / 03期

关键词：

Line graph; Hamilton cycle decomposition;

D O I：

10.1142/S1793830915500342

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bermond conjectured that if G is Hamilton cycle decomposable, then L(G), the line graph of G is Hamilton cycle decomposable. In this paper, we prove that, for any k > 5, there exists a directed Hamilton cycle decomposable 2-diregular digraph D of order 2k such that L(D) is not directed Hamilton cycle decomposable.

引用

页数：6

共 12 条

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